Isospectral Potentials and Quantum Mechanical Functions for Neutron-Neutron Scattering

TL;DR

This study constructs inverse isospectral potentials for neutron-neutron scattering in the 1S0 state using advanced fitting techniques, achieving high accuracy in reproducing experimental scattering data and parameters.

Contribution

It introduces a novel method combining Variational Monte-Carlo and PFM techniques to generate isospectral potentials closely matching experimental neutron-neutron scattering data.

Findings

Achieved mean absolute error less than 1 for scattering phase shifts up to 350 MeV.

Generated potentials that accurately reproduce low-energy scattering parameters.

Demonstrated the effectiveness of inverse isospectral methods in nuclear physics modeling.

Abstract

In this paper we have constructed inverse isospectral potentials for 1S0-nn state by fitting the experimental SPS using Variational Monte-Carlo technique in tandem with PFM technique. The isospectral potentials are obtained such that the cost measure i.e., mean absolute error (MAE) between the obtained and experimental SPS are less than 1 and the parameters give the low energy scattering parameters (`a' and `re') very close to the experimental values. The S-channel SPS for 1S0-nn have been obtained, with a MAE with respect to experimental data for lab energies up to 350 MeV, to less than 1.